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Charge transfer between weakly coupled normal metals and superconductors at low temperatures

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Festkörperprobleme 29

Part of the book series: Advances in Solid State Physics ((ASSP,volume 29))

Abstract

We give a review of recent advances in the theoretical description of ultrasmall tunnel junctions, i.e. weakly coupled normal metals and superconductors, at very low temperatures. The description, which is based on the microscopic theory, accounts for the quantum effects associated with Cooper pair tunncling, and for the disspation due to single electron tunneling (SET) or normal current flow. The former is described by the familiar periodic potential which, in the quantum regime, leads to energy bands, and to coherent Bloch oscillations in response to an external current. The stochastic SET, which may be blocked by the Coulomb interaction, yields voltage oscillations even in normal junctions, and also modifies the Bloch oscillations in Josephson junctions. The theory is extended to networks and granular superconducting films as well.

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References

  1. A. J. Leggett, Jap. J. Appl. Phys. 26, Suppl. 26-3, 1986 (1987).

    Google Scholar 

  2. W. Schottky, Ann. d. Phys. 57, 541 (1918); 68, 157 (1922); W. Schottky and H. Rothe, in: Handbuch der Experimentalphysik XIII/2, ed. by W. Wien and F. Harms (Akademische Verlagsgesellschaft, Leipzig 1928), p. 1

    Article  ADS  Google Scholar 

  3. P. W. Anderson, in: Lectures on the Many Body Problem, ed. by E. R. Caianiello (Academic Press, New York 1964), Vol. 2, p. 113.

    Google Scholar 

  4. V. Ambegaokar, U. Eckern, and G. Schön, Phys. Rev. Lett. 48, 1745 (1982); V. Ambegaokar, in: Percolation, Localization and Superconductivity, NATO Advanced Study Institute, Series B: Physics, Vol. 109, ed. by A. M. Goldman and S. A. Wolf (Plenum, New York 1984), p. 43; A. I. Larkin and Yu. N. Ovchinnikov, Phys. Rev. B28, 6281 (1983); U. Eckern, G. Schön, and V. Ambegaokar, Phys. Rev. B30, 6419 (1984).

    Article  ADS  Google Scholar 

  5. A. O. Caldeira and A. J. Leggett, Phys. Rev. Lett. 46, 211 (1981); Ann. Phys. (N. Y.) 149, 374 (1983)

    Article  ADS  Google Scholar 

  6. R. F. Voss and R. A. Webb, Phys. Rev. Lett. 47, 265 (1981); S. Washburn, R. A. Webb, R. F. Voss, and S. M. Faris, Phys. Rev. Lett. 54, 2712 (1985); D. B. Schwartz, B. Sen C. N. Archie, and J. E. Lukens, Phys. Rev. Lett. 55, 1547 (1985); M. H. Devoret, J. M. Martinis, and J. Clarke, Phys. Rev Lett. 55, 1908 (1985)

    Article  ADS  Google Scholar 

  7. J. M. Martinis, M. H. Devoret, and J. Clarke, Phys. Rev. Lett. 55, 1543 (1985)

    Article  ADS  Google Scholar 

  8. K. Yoshihiro, J. Kinoshita, K. Inagaki, C. Yamanouchi, S. Kobayashi and T. Karasawa, Jap. J. Appl. Phys. 26, 1379 (1987); K. Yoshihiro, Physica B152, 207

    Google Scholar 

  9. L. J. Geerligs, M. Peters, L. E. M. de Groot, A. Verbruggen, and J. E. Mooij, preprint

    Google Scholar 

  10. See also W. Zwerger, in: Festkörperprobleme/Advances in Solid State Physics, Vol. 29, ed. by U. Rößler (Vieweg, Braunschweig 1989), following paper

    Google Scholar 

  11. K. K. Likharev, G. Schön, and A. D. Zaikin, to be published

    Google Scholar 

  12. A. J. Dahm, A. Denenstein, D. N. Langenberg, W. H. Parker, D. Rogovin, and D. J. Scalapino, Phys. Rev. Lett. 22, 1461 (1966).

    Google Scholar 

  13. K. K. Likharev and A. B. Zorin, J. Low Temp Phys. 59, 347 (1985); D. V. Averin and K. K. Likharev, J. Low Temp. Phys. 62, 345 (1986); Zh. Eksp. Teor. Fiz. 90, 733 (1986) [Sov. Phys. JETP 63, 427 (1986)]

    Article  ADS  Google Scholar 

  14. See e. g. L. J. Geerligs and J. E. Mooij, Physica, B152, 212 (1988).

    Article  ADS  Google Scholar 

  15. F. Guinea and G. Schön, Europhys. Lett. 1, 585 (1986); G. Schön, in: SQUID'85 —Superconducting Quantum Interference Devices and their Applications, ed. by H. D. Hahlbolm and H. Lübbig (de Gruyter, Berlin, New York 1985), p. 251; F. Guinea and G. Schön, J. Low Temp. Phys. 69, 219 (1987)

    Article  ADS  Google Scholar 

  16. V. Ambegaokar and U. Eckern, Z. Phys. B69, 399 (1987).

    Article  ADS  Google Scholar 

  17. U. Geigenmüller and G. Schön, Physica B152, 186 (1988)

    Article  ADS  Google Scholar 

  18. A. Schmid, Phys. Rev. Lett. 51, 1506 (1983); M. P. A. Fisher and W. Zwerger, Phys. Rev. B32, 6190 (1985); U. Eckern and F. Pelzer, Europhys. Lett. 3, 131 (1987); A. D. Zaikin and S. V. Panyukov, Phys. Lett. 120A, 306 (1987); Zh. Eksp. Teor. Fiz. 93, 918 (1987) [Sov. Phys. JETP 66, 517 (1987)]

    Article  ADS  Google Scholar 

  19. B. G. Orr, H. M. Jaeger, A. M. Goldman, and C. G. Kuper, Phys. Rev. Lett. 56, 378 (1986); H. M. Jaeger, D. B. Haviland, A. M. Goldman, and B. G. Orr, Phys. Rev. B34, 4920 (1986); H. M. Jaeger, Ph. D. thesis, University of Minnesota 1987

    Article  ADS  Google Scholar 

  20. L. Jacobs, J. V. José, M. A. Novotny, and A. M. Goldman Phys. Rev. B38, 4562 (1988); L. Jacobs and J. V. José, Physica B152, 148 (1988)

    Article  ADS  Google Scholar 

  21. U. Eckern and A. Schmid, Phys. Rev. B39 (April 1989); S. R. Shenoy, to be published

    Google Scholar 

  22. S. Chakravarty, S. Kivelson, G. T. Zimanyi, and B. I. Halperin, Phys. Rev. B 35, 7256 (1987).

    Article  ADS  Google Scholar 

  23. J. Kissner and U. Eckern, unpublished

    Google Scholar 

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Ulrich Rössler

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© 1989 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH

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Eckern, U., Schön, G. (1989). Charge transfer between weakly coupled normal metals and superconductors at low temperatures. In: Rössler, U. (eds) Festkörperprobleme 29. Advances in Solid State Physics, vol 29. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0108004

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  • DOI: https://doi.org/10.1007/BFb0108004

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  • Print ISBN: 978-3-528-08035-8

  • Online ISBN: 978-3-540-75350-6

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